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2022202111120 = 245172951272873
BaseRepresentation
bin11101011011010100101…
…000110111010010010000
321011022122202000221202221
4131123110220313102100
5231112432220023440
64144553053150424
7266046024223012
oct35332450672220
97138582027687
102022202111120
1170a67a411554
12287abb48b414
1311890122c529
146dc374021b2
1537907230d4a
hex1d6d4a37490

2022202111120 has 80 divisors (see below), whose sum is σ = 5149847464560. Its totient is φ = 735047892992.

The previous prime is 2022202111073. The next prime is 2022202111169. The reversal of 2022202111120 is 211112022202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46704396544 + 1975497714576 = 216112^2 + 1405524^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022202111094 and 2022202111103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25596997 + ... + 25675876.

It is an arithmetic number, because the mean of its divisors is an integer number (64373093307).

Almost surely, 22022202111120 is an apocalyptic number.

2022202111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022202111120 is an abundant number, since it is smaller than the sum of its proper divisors (3127645353440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022202111120 is a wasteful number, since it uses less digits than its factorization.

2022202111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51272932 (or 51272926 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2022202111120 its reverse (211112022202), we get a palindrome (2233314133322).

The spelling of 2022202111120 in words is "two trillion, twenty-two billion, two hundred two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1160 1360 1972 2320 2465 3944 4930 7888 9860 19720 39440 51272873 102545746 205091492 256364365 410182984 512728730 820365968 871638841 1025457460 1486913317 1743277682 2050914920 2973826634 3486555364 4101829840 4358194205 5947653268 6973110728 7434566585 8716388410 11895306536 13946221456 14869133170 17432776820 23790613072 25277526389 29738266340 34865553640 50555052778 59476532680 69731107280 101110105556 118953065360 126387631945 202220211112 252775263890 404440422224 505550527780 1011101055560 2022202111120